Math worksheet for evaluating numerical expressions with decimals, including addition, subtraction, multiplication, and division.

Let’s solve each expression one by one, following the order of operations: multiplication and division first (left to right), then addition and subtraction (left to right).

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1) 4.25 × 1.4 + 9

First, multiply:
4.25 × 1.4 = ?

Break it down:
4.25 × 1 = 4.25
4.25 × 0.4 = 1.7
Add them: 4.25 + 1.7 = 5.95

Now add 9:
5.95 + 9 = 14.95

✔ Answer: 14.95

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2) 927 ÷ 3 × 2.5 – 0.17

Division and multiplication from left to right:

927 ÷ 3 = 309

Then: 309 × 2.5

Think: 309 × 2 = 618; 309 × 0.5 = 154.5 → total = 618 + 154.5 = 772.5

Now subtract 0.17:
772.5 – 0.17 = 772.33

✔ Answer: 772.33

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3) 19 + 6.14 × 3.5 + 6

Multiply first: 6.14 × 3.5

Calculate:
6.14 × 3 = 18.42
6.14 × 0.5 = 3.07
Total = 18.42 + 3.07 = 21.49

Now add: 19 + 21.49 + 6

19 + 21.49 = 40.49
40.49 + 6 = 46.49

✔ Answer: 46.49

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4) 81 – 0.96 ÷ 1.2

Divide first: 0.96 ÷ 1.2

You can think: 96 ÷ 120 = 0.8 (since both multiplied by 100)

So: 0.96 ÷ 1.2 = 0.8

Now subtract: 81 – 0.8 = 80.2

✔ Answer: 80.2

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5) 7.2 ÷ 0.08 + 15.2

Divide first: 7.2 ÷ 0.08

Move decimal: 720 ÷ 8 = 90

Then add: 90 + 15.2 = 105.2

✔ Answer: 105.2

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6) 2.4 × 0.3 + 36 – 5.6

Multiply first: 2.4 × 0.3 = 0.72

Now go left to right:
0.72 + 36 = 36.72
36.72 – 5.6 = 31.12

✔ Answer: 31.12

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7) 42 – 3.4 × 7.5 – 0.18

Multiply first: 3.4 × 7.5

3.4 × 7 = 23.8
3.4 × 0.5 = 1.7
Total = 23.8 + 1.7 = 25.5

Now subtract left to right:
42 – 25.5 = 16.5
16.5 – 0.18 = 16.32

✔ Answer: 16.32

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8) 21.3 – 2.12 × 8.5

Multiply first: 2.12 × 8.5

Break it:
2.12 × 8 = 16.96
2.12 × 0.5 = 1.06
Total = 16.96 + 1.06 = 18.02

Subtract: 21.3 – 18.02 = 3.28

✔ Answer: 3.28

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9) 1.6 × 9.3 – 5

Multiply: 1.6 × 9.3

1.6 × 9 = 14.4
1.6 × 0.3 = 0.48
Total = 14.4 + 0.48 = 14.88

Subtract: 14.88 – 5 = 9.88

✔ Answer: 9.88

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10) 9.9 + 3 × 1.5 + 13.4

Multiply first: 3 × 1.5 = 4.5

Now add left to right:
9.9 + 4.5 = 14.4
14.4 + 13.4 = 27.8

✔ Answer: 27.8

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Final Answer:
1) 14.95
2) 772.33
3) 46.49
4) 80.2
5) 105.2
6) 31.12
7) 16.32
8) 3.28
9) 9.88
10) 27.8